TABLAS ESTADÍSTICAS 2010

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TABLA 1 VALORES DE LA FUNCIÓN DE DISTRIBUCIÓN ACUMULATIVA NORMAL ESTÁNDAR Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.5 0.000 2 0.000 2 0.000 2 0.000 2 0.000 2 0.000 2 0.000 2 0.000 2 0.000 2 0.000 2 -3.4 0.000 3 0.000 3 0.000 3 0.000 3 0.000 3 0.000 3 0.000 3 0.000 3 0.000 3 0.000 2 -3.3 0.000 5 0.000 5 0.000 5 0.000 4 0.000 4 0.000 4 0.000 4 0.000 4 0.000 4 0.000 3 -3.2 0.000 7 0.000 7 0.000 6 0.000 6 0.000 6 0.000 6 0.000 6 0.000 5 0.000 5 0.000 5 -3.1 0.001 0 0.000 9 0.000 9 0.000 9 0.000 8 0.000 8 0.000 8 0.000 8 0.000 7 0.000 7 -3.0 0.001 3 0.001 3 0.001 3 0.001 2 0.001 2 0.001 1 0.001 1 0.001 1 0.001 0 0.001 0 -2.9 0.001 9 0.001 8 0.001 8 0.001 7 0.001 6 0.001 6 0.001 5 0.001 5 0.001 4 0.001 4 -2.8 0.002 6 0.002 5 0.002 4 0.002 3 0.002 3 0.002 2 0.002 1 0.002 1 0.002 0 0.001 9 -2.7 0.003 5 0.003 4 0.003 3 0.003 2 0.003 1 0.003 0 0.002 9 0.002 8 0.002 7 0.002 6 -2.6 0.004 7 0.004 5 0.004 4 0.004 3 0.004 1 0.004 0 0.003 9 0.003 8 0.003 7 0.003 6 -2.5 0.006 2 0.006 0 0.005 9 0.005 7 0.005 5 0.005 4 0.005 2 0.005 1 0.004 9 0.004 8 -2.4 0.008 2 0.008 0 0.007 8 0.007 5 0.007 3 0.007 1 0.006 9 0.006 8 0.006 6 0.006 4 -2.3 0.010 7 0.010 4 0.010 2 0.009 9 0.009 6 0.009 4 0.009 1 0.008 9 0.008 7 0.008 4 -2.2 0.013 9 0.013 6 0.013 2 0.012 9 0.012 5 0.012 2 0.011 9 0.011 6 0.011 3 0.011 0 -2.1 0.017 9 0.017 4 0.017 0 0.016 6 0.016 2 0.015 8 0.015 4 0.015 0 0.014 6 0.014 3 -2.0 0.022 8 0.022 2 0.021 7 0.021 2 0.020 7 0.020 2 0.019 7 0.019 2 0.018 8 0.018 3 -1.9 0.028 7 0.028 1 0.027 4 0.026 8 0.026 2 0.025 6 0.025 0 0.024 4 0.023 9 0.023 3 -1.8 0.035 9 0.035 1 0.034 4 0.033 6 0.032 9 0.032 2 0.031 4 0.030 7 0.030 1 0.029 4 -1.7 0.044 6 0.043 6 0.042 7 0.041 8 0.040 9 0.040 1 0.039 2 0.038 4 0.037 5 0.036 7 -1.6 0.054 8 0.053 7 0.052 6 0.051 6 0.050 5 0.049 5 0.048 5 0.047 5 0.046 5 0.045 5 -1.5 0.066 0.065 0.064 0.063 0.061 0.060 0.059 0.058 0.057 0.055 1

Transcript of TABLAS ESTADÍSTICAS 2010

Page 1: TABLAS ESTADÍSTICAS 2010

TABLA 1 VALORES DE LA FUNCIÓN DE DISTRIBUCIÓN ACUMULATIVA NORMAL ESTÁNDAR

Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09-3.5 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010

-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014-2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183

-1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681-1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985-1.1 0.1357 0.1335 0.1314 0.1292 0.1171 0.1251 0.1230 0.1210 0.1190 0.1170-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379

-0.9 0.1841 0.1814 0.1788 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867-0.7 0.2420 0.2389 0.2358 0.2327 0.2297 0.2266 0.2236 0.2206 0.2177 0.2148-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776-0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641

0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5470 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.2 0.5793 0.5832 0.5870 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.7 0.7580 0.7611 0.7642 0.7673 0.7703 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389

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Page 2: TABLAS ESTADÍSTICAS 2010

TABLA 1 VALORES DE LA FUNCIÓN DE DISTRIBUCIÓN ACUMULATIVA NORMAL ESTÁNDAR

Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .091.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.86211.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.88301.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.90151.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.91771.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.93191.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.94411.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.95451.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.96331.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9699 0.97061.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767

2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.98172.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.98572.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9872 0.9881 0.9884 0.9887 0.98902.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913 0.99162.4 0.9918 0.9920 0.9922 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.99362.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.99522.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.99642.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.99742.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.99812.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986

3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.99903.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.99933.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.99953.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.99973.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.99983.5 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998

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Page 3: TABLAS ESTADÍSTICAS 2010

TABLA 2 VALORES CUANTILES DE LA DISTRIBUCIÓN JI-CUADRADA

v x 0.005 x 0.010 x 0.025 x 0.050 x 0.100 x 0.900 x 0.950 x 0.975 x 0.990 x 0.995 1 0.00 0.00 0.00 0.00 0.02 2.71 3.84 5.02 6.64 7.90 2 0.01 0.02 0.05 0.10 0.21 4.60 5.99 7.39 9.22 10.59 3 0.07 0.11 0.22 0.35 0.58 6.25 7.82 9.36 11.32 12.82 4 0.21 0.30 0.48 0.71 1.06 7.78 9.49 11.15 13.28 14.82 5 0.41 0.55 0.83 1.15 1.61 9.24 11.07 12.84 15.09 16.72

6 0.67 0.87 1.24 1.63 2.20 10.65 12.60 14.46 16.81 18.55 7 0.99 1.24 1.69 2.17 2.83 12.02 14.07 16.02 18.47 20.27 8 1.34 1.64 2.18 2.73 3.49 13.36 15.51 17.55 20.08 21.94 9 1.73 2.09 2.70 3.32 4.17 14.69 16.93 19.03 21.65 23.5610 2.15 2.55 3.24 3.94 4.86 15.99 18.31 20.50 23.19 25.15

11 2.60 3.05 3.81 4.57 5.58 17.28 19.68 21.93 24.75 26.7112 3.06 3.57 4.40 5.22 6.30 18.55 21.03 23.35 26.25 28.2513 3.56 4.10 5.01 5.89 7.04 19.81 22.37 24.75 27.72 29.8814 4.07 4.65 5.62 6.57 7.79 21.07 23.69 26.13 29.17 31.3815 4.59 5.23 6.26 7.26 8.55 22.31 25.00 27.50 30.61 32.86

16 5.14 5.81 6.90 7.96 9.31 23.55 26.30 28.86 32.03 34.3217 5.69 6.40 7.56 8.67 10.08 24.77 27.59 30.20 33.43 35.7718 6.25 7.00 8.23 9.39 10.86 25.99 28.88 31.54 34.83 37.2119 6.82 7.63 8.90 10.11 11.65 27.21 30.15 33.87 36.22 38.6320 7.42 8.25 9.59 10.85 12.44 28.42 31.42 34.18 37.59 40.05

21 8.02 8.89 10.28 11.59 13.24 29.62 32.68 35.49 38.96 41.4522 8.62 9.53 10.98 12.34 14.04 30.82 33.93 36.79 40.31 42.8423 9.25 10.19 11.69 13.09 14.85 32.01 35.18 38.09 41.66 44.2324 9.87 10.85 12.40 13.84 15.66 33.20 36.42 39.38 43.00 45.6025 10.50 11.51 13.11 14.61 16.47 34.38 37.66 40.66 44.34 46.97

26 11.13 12.19 13.84 15.38 17.29 35.57 38.89 41.94 45.66 48.3327 11.79 12.87 14.57 16.15 18.11 36.74 40.12 43.21 46.99 49.6928 12.44 13.55 15.30 16.92 18.94 37.92 41.34 44.47 48.30 51.0429 13.09 14.24 16.04 17.70 19.77 39.09 42.56 45.74 49.61 52.3830 13.77 14.94 16.78 18.49 20.60 40.26 43.78 46.99 50.91 53.71

35 17.16 18.49 20.56 22.46 24.79 46.06 49.81 53.22 57.36 60.3140 20.67 22.14 24.42 26.51 29.06 51.80 55.75 59.34 63.71 66.8045 24.28 25.88 28.36 30.61 33.36 57.50 61.65 65.41 69.98 73.2050 27.96 29.68 32.35 34.76 37.69 63.16 67.50 71.42 76.17 79.5260 35.50 37.46 40.47 43.19 46.46 74.39 79.08 83.30 88.40 91.98

70 43.25 45.42 48.75 51.74 55.33 85.52 90.53 95.06 100.44 104.2480 51.14 53.52 57.15 60.39 64.28 96.57 101.88 106.63 112.34 116.3590 59.17 61.74 65.64 69.13 73.29 107.56 113.14 118.14 124.13 128.32

100 67.30 70.05 74.22 77.93 82.36 118.49 124.34 129.56 135.82 140.19

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Page 4: TABLAS ESTADÍSTICAS 2010

TABLA 3 VALORES DE CUANTILES DE LA DISTRIBUCIÓN t DE STUDENT

V t 0.001 t 0.005 t 0.010 t 0.025 t 0.050 t 0.100 t 0.200

1 -318.309 -63.657 -31.821 -12.706 -6.314 -3.078 -1.3762 -22.327 -9.925 -6.965 -4.303 -2.920 -1.886 -1.0613 -10.215 -5.841 -4.541 -3.182 -2.353 -1.638 -0.9784 -7.173 -4.604 -3.747 -2.776 -2.132 -1.533 -0.9415 -5.893 -4.032 -3.365 -2.571 -2.015 -1.476 -0.9206 -5.208 -3.707 -3.143 -2.447 -1.943 -1.440 -0.9067 -4.785 -3.499 -2.998 -2.365 -1.895 -1.415 -0.8968 -4.505 -3.355 -2.896 -2.306 -1.860 -1.397 -0.8899 -4.297 -3.250 -2.821 -2.262 -1.833 -1.383 -0.88310 -4.144 -3.169 -2.764 -2.228 -1.812 -1.372 -0.87911 -4.025 -3.106 -2.718 -2.201 -1.796 -1.363 -0.87612 -3.930 -3.055 -2.681 -2.179 -1.782 -1.356 -0.87313 -3.852 -3.012 -2.650 -2.160 -1.771 -1.350 -0.87014 -3.787 -2.977 -2.624 -2.145 -1.761 -1.345 -0.86815 -3.733 -2.947 -2.602 -2.131 -1.753 -1.341 -0.86616 -3.686 -2.921 -2.583 -2.120 -1.746 -1.337 -0.86517 -3.646 -2.898 -2.567 -2.110 -1.740 -1.333 -0.86318 -3.610 -2.878 -2.552 -2.101 -1.734 -1.330 -0.86219 -3.579 -2.861 -2.539 -2.093 -1.729 -1.328 -0.86120 -3.552 -2.845 -2.528 -2.086 -1.725 -1.325 -0.86021 -3.527 -2.831 -2.518 -2.080 -1.721 -1.323 -0.85922 -3.505 -2.819 -2.508 -2.074 -1.717 -1.321 -0.85823 -3.485 -2.807 -2.500 -2.069 -1.714 -1.319 -0.85824 -3.467 -2.797 -2.492 -2.064 -1.711 -1.318 -0.85725 -3.450 -2.787 -2.485 -2.060 -1.708 -1.316 -0.85626 -3.435 -2.779 -2.479 -2.056 -1.706 -1.315 -0.85627 -3.421 -2.771 -2.473 -2.052 -1.703 -1.314 -0.85528 -3.408 -2.763 -2.467 -2.048 -1.701 -1.313 -0.85529 -3.396 -2.756 -2.462 -2.045 -1.699 -1.311 -0.85430 -3.385 -2.750 -2.457 -2.042 -1.697 -1.310 -0.85435 -3.340 -2.724 -2.438 -2.030 -1.690 -1.306 -0.85240 -3.307 -2.704 -2.423 -2.021 -1.684 -1.303 -0.85145 -3.281 -2.690 -2.412 -2.014 -1.679 -1.301 -0.85050 -3.261 -2.678 -2.403 -2.009 -1.676 -1.299 -0.84960 -3.232 -2.660 -2.390 -2.000 -1.671 -1.296 -0.84870 -3.211 -2.648 -2.381 -1.994 -1.667 -1.294 -0.84780 -3.195 -2.639 -2.374 -1.990 -1.664 -1.292 -0.84690 -3.183 -2.632 -2.369 -1.987 -1.662 -1.291 -0.846100 -3.174 -2.626 -2.364 -1.984 -1.660 -1.290 -0.845200 -3.131 -2.601 -2.345 -1.972 -1.652 -1.286 -0.843500 -3.107 -2.586 -2.334 -1.965 -1.648 -1.283 -0.8421000 -3.098 -2.581 -2.330 -1.962 -1.646 -1.282 -0.842

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Page 5: TABLAS ESTADÍSTICAS 2010

TABLA 3 VALORES DE CUANTILES DE LA DISTRIBUCIÓN t DE STUDENT

V t 0.800 t 0.900 t 0.950 t 0.975 t 0.990 t 0.995 t 0.999

1 1.376 3.078 6.314 12.706 31.820 63.656 318.2942 1.061 1.886 2.920 4.303 6.965 9.925 22.3273 0.978 1.638 2.353 3.182 4.541 5.841 10.2144 0.941 1.533 2.132 2.776 3.744 4.604 7.1735 0.920 1.476 2.015 2.571 3.365 4.032 5.8936 0.906 1.440 1.943 2.447 3.143 3.707 5.2087 0.896 1.415 1.895 2.365 2.998 3.499 4.7858 0.889 1.397 1.860 2.306 2.896 3.355 4.5019 0.883 1.383 1.833 2.262 2.821 3.250 4.29710 0.879 1.372 1.812 2.228 2.764 3.169 4.14411 0.876 1.363 1.796 2.201 2.718 3.106 4.02512 0.873 1.356 1.782 2.179 2.681 3.055 3.93013 0.870 1.350 1.771 2.160 2.650 3.012 3.85214 0.868 1.345 1.761 2.145 2.624 2.977 3.78715 0.866 1.341 1.750 2.131 2.602 2.947 3.73316 0.865 1.337 1.746 2.120 2.583 2.921 3.68617 0.863 1.333 1.740 2.110 2.567 2.898 3.64618 0.862 1.330 1.734 2.101 2.552 2.878 3.61019 0.861 1.328 1.729 2.093 2.539 2.861 3.57920 0.860 1.325 1.725 2.086 2.528 2.845 3.55221 0.859 1.323 1.721 2.080 2.518 2.831 3.52722 0.858 1.321 1.717 2.074 2.508 2.819 3.50523 0.858 1.319 1.714 2.069 2.500 2.807 3.48524 0.857 1.318 1.711 2.064 2.492 2.797 3.46725 0.856 1.316 1.708 2.060 2.485 2.787 3.45026 0.856 1.315 1.706 2.053 2.479 2.779 3.43527 0.855 1.314 1.703 2.052 2.473 2.771 3.42128 0.855 1.313 1.701 2.048 2.467 2.763 3.40829 0.854 1.311 1.699 2.045 2.462 2.756 3.39630 0.854 1.310 1.697 2.042 2.457 2.750 3.38535 0.852 1.306 1.690 2.030 2.438 2.724 3.34040 0.851 1.303 1.684 2.021 2.423 2.704 3.30745 0.850 1.301 1.679 2.014 2.412 2.690 3.28150 0.849 1.299 1.676 2.009 2.403 2.678 3.26160 0.848 1.296 1.671 2.000 2.390 2.660 3.23270 0.847 1.294 1.667 1.994 2.381 2.648 3.21180 0.846 1.292 1.664 1.990 2.374 2.639 3.19590 0.846 1.291 1.662 1.987 2.368 2.632 3.183100 0.845 1.290 1.660 1.984 2.364 2.626 3.174200 0.843 1.286 1.652 1.972 2.345 2.601 3.131500 0.842 1.283 1.648 1.965 2.334 2.586 3.1071000 0.842 1.282 1.646 1.962 2.330 2.581 3.098

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Page 6: TABLAS ESTADÍSTICAS 2010

TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIÓN F

V1= Grados de libertad del numerador

V 2 1 2 3 4 5 6 7 8 9 101 39.86 49.50 53.59 55.83 57.24 58.20 5891 59.44 59.86 60.192 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38 9.393 5.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24 5.234 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94 3.925 4.06 3.78 3.62 3.52 3.45 3.40 3.37 3.34 3.32 3.306 3.78 3.49 3.29 3.18 3.11 3.05 3.01 2.98 2.96 2.947 3.59 3.26 3.07 2.96 2.88 2.83 2.79 2.75 2.72 2.708 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59 2.56 2.549 3.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47 2.44 2.4210 3.29 2.92 2.73 2.61 2.52 2.46 2.41 2.38 2.35 2.3211 3.23 2.86 2.66 2.54 2.45 2.39 2.34 2.30 2.27 2.2512 3.18 2.81 2.61 2.48 2.39 2.33 2.28 2.24 2.21 2.1913 3.14 2.76 2.56 2.43 2.35 2.28 2.23 2.20 2.16 2.1414 3.10 2.73 2.52 2.39 2.31 2.24 2.19 2.15 2.12 2.1015 3.07 2.70 2.49 2.36 2.27 2.21 2.16 2.12 2.09 2.0616 3.05 2.67 2.46 2.33 2.24 2.18 2.13 2.09 2.06 2.0317 3.03 2.64 2.44 2.31 2.22 2.15 2.10 2.06 2.03 2.0018 3.01 2.62 2.42 2.29 2.20 2.13 2.08 2.04 2.00 1.9819 2.99 2.61 2.40 2.27 2.18 2.11 2.06 2.02 1.98 1.9620 2.97 2.59 2.38 2.25 2.16 2.09 2.04 2.00 1.96 1.9421 2.96 2.57 2.36 2.23 2.14 2.08 2.02 1.98 1.95 1.9222 2.95 2.56 2.35 2.22 2.13 2.06 2.01 1.97 1.93 1.9023 2.94 2.55 2.34 2.21 2.11 2.05 1.99 1.95 1.92 1.8924 2.93 2.54 2.33 2.19 2.10 2.04 1.98 1.94 1.91 1.8825 2.92 2.53 2.32 2.18 2.09 2.02 1.97 1.93 1.89 1.8726 2.91 2.52 2.31 2.17 2.08 2.01 1.96 1.92 1.88 1.8627 2.90 2.51 2.30 2.17 2.07 2.00 1.95 1.91 1.87 1.8528 2.89 2.50 2.29 2.16 2.06 2.00 1.94 1.90 1.87 1.8429 2.89 2.50 2.28 2.15 2.06 1.99 1.93 1.89 1.86 1.8330 2.88 2.49 2.28 2.14 2.05 1.98 1.93 1.88 1.85 1.8235 2.85 2.46 2.25 2.11 2.02 1.95 1.90 1.85 1.82 1.7940 2.84 2.44 2.23 2.09 2.00 1.93 1.87 1.83 1.79 1.7650 2.81 2.41 2.20 2.06 1.97 1.90 1.84 1.80 1.76 1.7360 2.79 2.39 2.18 2.04 1.95 1.87 1.82 1.77 1.74 1.7180 2.77 2.37 2.15 2.02 1.92 1.85 1.79 1.75 1.71 1.68100 2.76 2.36 2.14 2.00 1.91 1.83 1.78 1.73 1.69 1.66200 2.73 2.33 2.11 1.97 1.88 1.80 1.75 1.70 1.66 1.63500 2.72 2.31 2.09 1.96 1.86 1.79 1.73 1.68 1.64 1.611000 2.71 2.31 2.09 1.95 1.85 1.78 1.72 1.68 1.64 1.61

6

Page 7: TABLAS ESTADÍSTICAS 2010

TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIÓN F

V1= Grados de libertad del numerador

V 2 11 12 15 20 25 30 40 50 100 10001 60.47 60.71 61.22 61.74 62.06 62.26 62.53 62.69 63.00 63.292 9.40 9.41 9.42 9.44 9.45 9.46 9.47 9.47 9.48 9.493 5.22 5.22 5.20 5.19 5.17 5.17 5.16 5.15 5.14 5.134 3.91 3.90 3.87 3.84 3.83 3.82 3.80 3.80 3.78 3.765 3.28 3.27 3.24 3.21 3.19 3.17 3.16 3.15 3.13 3.116 2.92 2.90 2.87 2.84 2.81 2.80 2.78 2.77 2.75 2.727 2.68 2.57 2.63 2.59 2.57 2.56 2.54 2.52 2.50 2.478 2.52 2.50 2.46 2.42 2.40 2.38 2.36 2.35 2.32 2.309 2.40 2.38 2.34 2.30 2.27 2.25 2.23 2.22 2.19 2.1610 2.30 2.28 2.24 2.20 2.17 2.16 2.13 2.12 2.09 2.0611 2.23 2.21 2.17 2.12 2.10 2.08 2.05 2.04 2.00 1.9812 2.17 2.15 2.10 2.06 2.03 2.01 1.99 1.97 1.94 1.9113 2.12 2.10 2.05 2.01 1.98 1.96 1.93 1.92 1.88 1.8514 2.07 2.05 2.01 1.96 1.93 1.91 1.89 1.87 1.83 1.8015 2.04 2.02 1.97 1.92 1.89 1.87 1.85 1.83 1.79 1.7616 2.01 1.99 1.94 1.89 1.86 1.84 1.81 1.79 1.76 1.7217 1.98 1.96 1.91 1.86 1.83 1.81 1.78 1.76 1.73 1.6918 1.95 1.93 1.89 1.84 1.80 1.78 1.75 1.74 1.70 1.6619 1.93 1.91 1.86 1.81 1.78 1.76 1.73 1.71 1.67 1.6420 1.91 1.89 1.84 1.79 1.76 1.74 1.71 1.69 1.65 1.6121 1.90 1.87 1.83 1.78 1.74 1.72 1.69 1.67 1.63 1.5922 1.88 1.86 1.81 1.76 1.73 1.70 1.67 1.65 1.61 1.5723 1.87 1.84 1.80 1.74 1.71 1.69 1.66 1.64 1.59 1.5524 1.85 1.83 1.78 1.73 1.70 1.67 1.64 1.62 1.58 1.5425 1.84 1.82 1.77 1.72 1.68 1.66 1.63 1.61 1.56 1.5226 1.83 1.81 1.76 1.71 1.67 1.65 1.61 1.59 1.55 1.5127 1.81 1.80 1.75 1.70 1.66 1.64 1.60 1.58 1.54 1.5028 1.82 1.79 1.74 1.69 1.65 1.63 1.59 1.57 1.53 1.4829 1.80 1.78 1.73 1.68 1.64 1.62 1.58 1.56 1.52 1.4730 1.78 1.77 1.72 1.67 1.63 1.61 1.57 1.55 1.51 1.4635 1.76 1.74 1.69 1.63 1.60 1.57 1.53 1.51 1.47 1.4240 1.74 1.71 1.66 1.61 1.57 1.54 1.51 1.48 1.43 1.3850 1.70 1.68 1.63 1.57 1.53 1.50 1.46 1.44 1.39 1.3360 1.68 1.66 1.60 1.54 1.50 1.48 1.44 1.41 1.36 1.3080 1.65 1.63 1.57 1.51 1.47 1.44 1.40 1.38 1.32 1.25100 1.64 1.61 1.56 1.49 1.45 1.42 1.38 1.35 1.29 1.22200 1.60 1.58 1.52 1.46 1.41 1.38 1.34 1.31 1.24 1.16500 1.58 1.56 1.50 1.44 1.39 1.36 1.31 1.28 1.21 1.111000 1.58 1.55 1.49 1.43 1.38 1.35 1.30 1.27 1.20 1.08

7

Page 8: TABLAS ESTADÍSTICAS 2010

TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIÓN F

V1= Grados de libertad del numerador

V 2 1 2 3 4 5 6 7 8 9 101 161.45 199.50 215.71 224.58 230.16 233.99 236.77 238.88 240.54 241.882 18.51 19.00 19.16 19.25 19.30 19.33 19.35 19.37 19.38 19.403 10.13 9.55 9.28 9.12 9.01 8.94 8.89 8.85 8.81 8.794 7.71 6.94 6.59 6.39 6.26 6.16 6.09 6.04 6.00 5.975 6.61 5.79 5.41 5.19 5.05 4.95 4.88 4.82 4.77 4.736 5.99 5.14 4.76 4.53 4.39 4.28 4.21 4.15 4.10 4.067 5.59 4.74 4.35 4.12 3.97 3.87 3.79 3.73 3.68 3.648 5.32 4.46 4.07 3.84 3.69 3.58 3.50 3.44 3.39 3.359 5.12 4.26 3.86 3.63 3.48 3.37 3.29 3.23 3.18 3.1410 4.96 4.10 3.71 3.48 3.33 3.22 3.14 3.07 3.02 2.9811 4.84 3.98 3.59 3.36 3.20 3.09 3.01 2.95 2.90 2.8512 4.75 3.89 3.49 3.26 3.11 3.00 2.91 2.85 2.80 2.7513 4.67 3.81 3.41 3.18 3.03 2.90 2.83 2.77 2.71 2.6714 4.60 3.74 3.34 3.11 2.96 2.85 2.76 2.70 2.65 2.6015 4.54 3.68 3.29 3.06 2.90 2.79 2.71 2.64 2.59 2.5416 4.49 3.63 3.24 3.01 2.85 2.74 2.66 2.59 2.54 2.4917 4.45 3.59 3.20 2.96 2.81 2.70 2.61 2.55 2.49 2.4518 4.41 3.55 3.16 2.93 2.77 2.66 2.58 2.51 2.46 2.4119 4.38 3.52 3.13 2.90 2.74 2.63 2.54 2.48 2.42 2.3820 4.35 3.49 3.10 2.87 2.71 2.60 2.51 2.45 2.39 2.3521 4.32 3.47 3.07 2.84 2.68 2.57 2.49 2.42 2.37 2.3222 4.30 3.44 3.05 2.82 2.66 2.55 2.46 2.40 2.34 2.3023 4.28 3.42 3.03 2.80 2.64 2.53 2.44 2.37 2.32 2.2724 4.26 3.40 3.01 2.78 2.62 2.51 2.42 2.36 2.30 2.2525 4.24 3.39 2.99 2.76 2.60 2.49 2.40 2.34 2.28 2.2426 4.23 3.37 2.98 2.74 2.59 2.47 2.39 2.32 2.27 2.2227 4.21 3.35 2.96 2.73 2.57 2.46 2.37 2.31 2.25 2.2028 4.20 3.34 2.95 2.71 2.56 2.45 2.36 2.29 2.24 2.1929 4.18 3.33 2.93 2.70 2.55 2.43 2.35 2.28 2.22 2.1830 4.17 3.32 2.92 2.69 2.53 2.42 2.33 2.27 2.21 2.1635 4.12 3.27 2.87 2.64 2.49 2.37 2.29 2.22 2.16 2.1140 4.08 3.23 2.84 2.61 2.45 2.34 2.25 2.18 2.12 2.0850 4.03 3.18 2.79 2.56 2.40 2.29 2.20 2.13 2.07 2.0360 4.00 3.15 2.76 2.53 2.37 2.25 2.17 2.10 2.04 1.9980 3.96 3.11 2.72 2.49 2.33 2.21 2.13 2.06 2.00 1.95100 3.94 3.09 2.70 2.46 2.31 2.19 2.10 2.03 1.97 1.93200 3.89 3.04 2.65 2.42 2.26 2.14 2.06 1.98 1.93 1.88500 3.86 3.01 2.62 2.39 2.23 2.12 2.03 1.96 1.90 1.851000 3.85 3.01 2.61 2.38 2.22 2.11 2.02 1.95 1.89 1.84

8

Page 9: TABLAS ESTADÍSTICAS 2010

TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIÓN F

V1= Grados de libertad del numerador

V 2 11 12 15 20 25 30 40 50 100 10001 242.98 243.91 245.96 248.01 249.26 250.08 251.15 251.77 253.01 254.172 19.40 19.41 19.43 19.45 19.46 19.46 19.47 19.48 19.49 19.503 8.76 8.74 8.70 8.66 8.63 8.62 8.59 8.58 8.55 8.534 5.49 5.91 5.86 5.80 5.77 5.74 5.72 5.70 5.66 5.635 4.70 4.68 4.62 4.56 4.52 4.50 4.46 4.44 4.41 4.376 4.03 4.00 3.94 3.87 3.84 3.81 3.77 3.75 3.71 3.677 3.60 3.57 3.51 3.44 3.40 3.38 3.34 3.32 3.27 3.238 3.31 3.28 3.22 3.15 3.11 3.08 3.04 3.02 2.97 2.939 3.10 3.07 3.01 2.94 2.89 2.86 2.83 2.80 2.76 2.7110 2.94 2.91 2.85 2.77 2.73 2.70 2.66 2.64 2.59 2.5411 2.82 2.79 2.72 2.65 2.60 2.57 2.53 2.51 2.46 2.4112 2.72 2.69 2.62 2.54 2.50 2.47 2.43 2.40 2.35 2.3013 2.63 2.60 2.53 2.46 2.41 2.38 2.34 2.31 2.26 2.2114 2.57 2.53 2.46 2.39 2.34 2.31 2.27 2.24 2.19 2.1415 2.51 2.48 2.40 2.33 2.28 2.25 2.20 2.18 2.12 2.0716 2.46 2.42 2.35 2.28 2.23 2.19 2.15 2.12 2.07 2.0217 2.41 2.38 2.31 2.23 2.18 2.15 2.10 2.08 2.02 1.9718 2.37 2.34 2.27 2.19 2.14 2.11 2.06 2.04 1.98 1.9219 2.34 2.31 2.23 2.16 2.11 2.07 2.03 2.00 1.94 1.8820 2.31 2.28 2.20 2.12 2.07 2.04 1.99 1.97 1.91 1.8521 2.28 2.25 2.18 2.10 2.05 2.01 1.96 1.94 1.88 1.8222 2.26 2.23 2.15 2.07 2.02 1.98 1.94 1.91 1.85 1.7923 2.24 2.20 2.13 2.05 2.00 1.96 1.91 1.88 1.82 1.7624 2.22 2.18 2.11 2.03 1.97 1.94 1.89 1.86 1.80 1.7425 2.20 2.16 2.09 2.01 1.96 1.92 1.87 1.84 1.78 1.7226 2.18 2.15 2.07 1.99 1.94 1.90 1.85 1.82 1.76 1.7027 2.17 2.13 2.06 1.97 1.92 1.88 1.84 1.81 1.74 1.6828 2.15 2.12 2.04 1.96 1.91 1.87 1.82 1.79 1.73 1.6629 2.14 2.10 2.03 1.94 1.89 1.85 1.81 1.77 1.71 1.6530 2.13 2.09 2.01 1.93 1.88 1.84 1.79 1.76 1.70 1.6335 2.07 2.04 1.96 1.88 1.82 1.79 1.74 1.70 1.63 1.5740 2.04 2.00 1.92 1.84 1.78 1.74 1.69 1.66 1.59 1.5250 1.99 1.95 1.87 1.78 1.73 1.69 1.63 1.60 1.52 1.4560 1.95 1.92 1.84 1.75 1.69 1.65 1.59 1.56 1.48 1.4080 1.91 1.88 1.79 1.70 1.64 1.60 1.54 1.51 1.43 1.34100 1.89 1.85 1.77 1.68 1.62 1.57 1.52 1.48 1.39 1.30200 1.84 1.80 1.72 1.62 1.56 1.52 1.46 1.41 1.32 1.21500 1.81 1.77 1.69 1.59 1.53 1.48 1.42 1.38 1.28 1.141000 1.80 1.76 1.68 1.58 1.52 1.47 1.41 1.36 1.26 1.11

9

Page 10: TABLAS ESTADÍSTICAS 2010

TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIÓN F

V1= Grados de libertad del numerador

V 2 1 2 3 4 5 6 7 8 9 102 98.50 99.00 99.17 99.25 99.30 99.33 99.36 99.37 99.39 99.403 34.12 30.82 29.46 28.71 28.24 27.91 27.67 27.50 27.34 27.224 21.20 18.00 16.69 15.98 15.52 15.21 14.98 14.80 14.66 14.555 16.26 13.27 12.06 11.39 10.97 10.67 10.46 10.29 10.16 10.056 13.75 10.92 9.78 9.15 8.75 8.47 8.26 8.10 7.98 7.877 12.25 9.55 8.45 7.85 7.46 7.19 6.99 6.84 6.72 6.628 11.26 8.65 7.59 7.01 6.63 6.37 6.18 6.03 5.91 5.819 10.56 8.02 6.99 6.42 6.06 5.80 5.61 5.47 5.35 5.2610 10.04 7.56 6.55 5.99 5.64 5.39 5.20 5.06 4.94 4.8511 9.65 7.21 6.22 5.67 5.32 5.07 4.89 4.74 4.63 4.5412 9.33 6.93 5.95 5.41 5.06 4.82 4.64 4.50 4.39 4.3013 9.07 6.70 5.74 5.21 4.86 4.62 4.44 4.30 4.19 4.1014 8.86 6.51 5.56 5.04 4.69 4.46 4.28 4.14 4.03 3.9415 8.68 6.36 5.42 4.89 4.56 4.32 4.14 4.00 3.89 3.8016 8.53 6.23 5.29 4.77 4.44 4.20 4.03 3.89 3.78 3.6917 8.40 6.11 5.18 4.67 4.34 4.10 3.93 3.79 3.68 3.5918 8.29 6.01 5.09 4.58 4.25 4.01 3.84 3.71 3.60 3.5119 8.18 5.93 5.01 4.50 4.17 3.94 3.77 3.63 3.52 3.4320 8.10 5.85 4.94 4.43 4.10 3.87 3.70 3.56 3.46 3.3721 8.02 5.78 4.87 4.37 4.04 3.81 3.64 3.51 3.40 3.3122 7.95 5.72 4.82 4.31 3.99 3.76 3.59 3.45 3.35 3.2623 7.88 5.66 4.76 4.26 3.94 3.71 3.54 3.41 3.30 3.2124 7.82 5.61 4.72 4.22 3.90 3.67 3.50 3.36 3.26 3.1725 7.77 5.57 4.68 4.18 3.85 3.63 3.46 3.32 3.22 3.1326 7.72 5.53 4.64 4.14 3.82 3.59 3.42 3.29 3.18 3.0927 7.68 5.49 4.60 4.11 3.78 3.56 3.39 3.26 3.15 3.0628 7.64 5.45 4.57 4.07 3.75 3.53 3.36 3.23 3.12 3.0329 7.60 5.42 4.54 4.04 3.73 3.50 3.33 3.20 3.09 3.0030 7.56 5.39 4.51 4.02 3.70 3.47 3.30 3.17 3.07 2.9835 7.42 5.27 4.40 3.91 3.59 3.37 3.20 3.07 2.96 2.8840 7.31 5.18 4.31 3.83 3.51 3.29 3.12 2.99 2.89 2.8050 7.17 5.06 4.20 3.72 3.41 3.19 3.02 2.89 2.78 2.7060 7.08 4.98 4.13 3.65 3.34 3.12 2.95 2.82 2.72 2.6380 6.96 4.88 4.04 3.56 3.26 3.04 2.87 2.74 2.64 2.55100 6.90 4.82 3.98 3.51 3.21 2.99 2.82 2.69 2.59 2.50200 6.76 4.71 3.88 3.41 3.11 2.89 2.73 2.60 2.50 2.41500 6.69 4.61 3.82 3.36 3.05 2.84 2.68 2.55 2.44 2.361000 6.66 4.63 3.80 3.34 3.04 2.82 2.66 2.53 2.43 2.34

10

Page 11: TABLAS ESTADÍSTICAS 2010

TABLA 4 VALORES DE CUANTILES DE LA DISTRIBUCIÓN F

V1= Grados de libertad del numerador

V 2 11 12 15 20 25 30 40 50 100 10002 99.41 99.42 99.43 99.45 99.46 99.47 99.47 99.48 99.49 99.513 27.12 27.03 26.85 26.67 26.58 26.50 26.41 26.35 26.24 26.144 14.45 14.37 14.19 14.02 13.91 13.84 13.75 13.69 13.58 13.485 9.96 9.89 9.72 9.55 9.45 9.38 9.30 9.24 9.13 9.036 7.79 7.72 7.56 7.40 7.29 7.23 7.15 7.09 6.99 6.897 6.54 6.47 6.31 6.16 6.06 5.99 5.91 5.86 5.75 5.668 5.73 5.67 5.52 5.36 5.26 5.20 5.12 5.07 4.96 4.879 5.18 5.11 4.96 4.81 4.71 4.65 4.57 4.52 4.41 4.3210 4.77 4.71 4.56 4.41 4.31 4.25 4.17 4.12 4.01 3.9211 4.46 4.40 4.25 4.10 4.00 3.94 3.86 3.81 3.71 3.6112 4.22 4.16 4.01 3.86 3.76 3.70 3.62 3.57 3.47 3.3713 4.02 3.96 3.82 3.66 3.57 3.51 3.43 3.38 3.27 3.1814 3.86 3.80 3.66 3.51 3.41 3.35 3.27 3.22 3.11 3.0215 3.73 3.67 3.52 3.37 3.28 3.21 3.13 3.08 2.98 2.8816 3.62 3.55 3.41 3.26 3.16 3.10 3.02 2.97 2.86 2.7617 3.52 3.46 3.31 3.16 3.07 3.00 2.92 2.87 2.76 2.6618 3.43 3.37 3.23 3.08 2.98 2.92 2.84 2.78 2.68 2.5819 3.36 3.30 3.15 3.00 2.91 2.84 2.76 2.71 2.60 2.5020 3.29 3.23 3.09 2.94 2.84 2.78 2.69 2.64 2.54 2.4321 3.24 3.17 3.03 2.88 2.78 2.72 2.64 2.58 2.48 2.3722 3.18 3.12 2.98 2.83 2.73 2.67 2.58 2.53 2.42 2.3223 3.14 3.07 2.93 2.78 2.69 2.62 2.54 2.48 2.37 2.2724 3.09 3.03 2.89 2.74 2.64 2.58 2.49 2.44 2.33 2.2225 3.06 2.99 2.85 2.70 2.60 2.54 2.45 2.40 2.29 2.1826 3.02 2.96 2.81 2.66 2.57 2.50 2.42 2.36 2.25 2.1427 2.99 2.93 2.78 2.63 2.54 2.47 2.38 2.33 2.22 2.1128 2.96 2.90 2.75 2.60 2.51 2.44 2.35 2.30 2.19 2.0829 2.93 2.87 2.73 2.57 2.48 2.41 2.33 2.27 2.16 2.0530 2.91 2.84 2.70 2.55 2.45 2.39 2.30 2.24 2.13 2.0235 2.80 2.74 2.60 2.44 2.35 2.28 2.19 2.14 2.02 1.9040 2.73 2.66 2.52 2.37 2.27 2.20 2.11 2.06 1.94 1.8250 2.62 2.56 2.42 2.27 2.17 2.10 2.01 1.95 1.82 1.7060 2.56 2.50 2.35 2.20 2.10 2.03 1.94 1.88 1.75 1.6280 2.48 2.42 2.27 2.12 2.01 1.94 1.85 1.79 1.65 1.51100 2.43 2.37 2.22 2.07 1.97 1.89 1.80 1.74 1.60 1.45200 2.34 2.27 2.13 1.97 1.87 1.79 1.69 1.63 1.48 1.30500 2.28 2.22 2.07 1.92 1.81 1.74 1.63 1.57 1.41 1.201000 2.27 2.20 2.06 1.90 1.79 1.72 1.61 1.54 1.38 1.16

11

Page 12: TABLAS ESTADÍSTICAS 2010

12

5

5

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13

5

55

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14

5

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15

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16

5

Page 17: TABLAS ESTADÍSTICAS 2010

17

6

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18

6

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19

6

6

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20

7

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21

7

7

Page 22: TABLAS ESTADÍSTICAS 2010

TABLA 8 DE DUNCAN

Valores para el cálculo de los límites de significación de las diferencias entre promedios en la prueba de t

múltiple.

G.L. delerror

Probabilidad Número de promedios determinado por los dos que se comparan dentro de la serie de todos los promedios ordenados por la magnitud de los mismos.

2 3 4 5 6 7 8 9 10 12 14 16 18 201 .05

.0118.090.0

18.090.0

18.090.0

18.090.0

18.090.0

18.090.0

18.090.0

18.090.0

18.090.0

18.090.0

18.090.0

18.090.0

18.090.0

18.090.0

2 .05.01

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

6.0914.0

3 .05.01

4.508.26

4.508.5

4.508.6

4.508.7

4.508.8

4.508.9

4.508.9

4.509.0

4.509.0

4.509.0

4.509.1

4.509.2

4.509.3

4.509.3

4 .05.01

3.936.51

4.016.8

4.026.9

4.027.0

4.027.1

4.027.1

4.027.2

4.027.2

4.027.3

4.027.3

4.027.4

4.027.4

4.027.5

4.027.5

5 .05.01

3.645.70

3.745.96

3.796.11

3.836.18

3.836.26

3.836.33

3.836.40

3.836.44

3.836.5

3.836.6

3.836.6

3.836.7

3.836.7

3.836.8

6 .05.01

3.465.24

3.585.51

3.645.65

3.685.73

3.685.81

3.685.88

3.685.95

3.686.00

3.686.0

3.686.1

3.686.2

3.686.2

3.686.3

3.686.3

7 .05.01

3.354.95

3.475.22

3.545.37

3.585.45

3.605.53

3.615.61

3.615.69

3.615.73

3.615.8

3.615.8

3.615.9

3.615.9

3.616.0

3.616.0

8 .05.01

3.264.74

3.395.00

3.475.14

3.525.23

3.555.32

3.565.40

3.565.47

3.565.51

3.565.5

3.565.6

3.565.7

9.565.7

3.565.8

3.565.8

9 .05.01

3.204.60

3.344.86

3.414.99

3.475.08

3.505.17

3.525.25

3.525.32

3.525.36

3.525.4

3.525.5

3.525.5

9.525.6

3.525.7

3.525.7

10 .05.01

3.154.48

3.304.73

3.374.88

3.434.96

3.465.06

3.475.13

3.475.20

3.475.24

3.475.28

3.475.36

3.475.42

3.475.48

3.475.54

3.485.55

11 .05.01

3.114.39

3.274.63

3.354.77

3.394.86

3.434.94

3.445.01

3.455.06

3.465.12

3.455.15

3.465.24

3.465.28

3.465.34

3.475.38

3.485.39

12 .05.01

3.084.32

3.234.55

3.334.68

3.364.76

3.404.84

3.424.92

3.444.96

3.445.02

3.455.07

3.465.13

3.465.17

3.465.22

3.475.24

3.485.26

13 .05.01

3.064.26

3.214.48

3.304.62

3.354.69

3.384.74

3.414.84

3.424.88

3.444.94

3.454.98

3.455.04

3.465.08

3.465.13

3.475.14

3.475.15

14 .05.01

3.034.21

3.184.42

3.274.55

3.334.63

3.374.70

3.394.78

3.414.83

3.424.87

3.444.91

3.454.96

3.465.00

3.465.04

3.475.06

3.475.07

15 .05.01

3.014.17

3.164.37

3.254.50

3.314.58

3.364.64

3.384.72

3.404.77

3.424.81

3.434.84

3.444.90

3.454.94

3.464.97

3.474.99

3.475.00

22

Page 23: TABLAS ESTADÍSTICAS 2010

TABLA 8 DE DUNCAN

Valores para el calculo de los limites de significación de las diferencias entre promedios en la prueba de t

múltiple.

G.L. delerror

Probabilidad Numero de promedios determinado por los dos que se comparan dentro de la serie de todos los promedios ordenados por la magnitud de los mismos.

2 3 4 5 6 7 8 9 10 12 14 16 18 2016 .05

.013.004.13

3.154.34

3.234.45

3.304.54

3.344.60

3.374.67

3.394.72

3.414.76

3.434.79

3.444.84

3.454.88

3.464.91

3.474.93

3.474.94

17 .05.01

2.984.10

3.134.30

3.224.41

3.284.50

3.334.56

3.364.63

3.384.68

3.404.72

3.424.75

3.444.80

3.454.83

3.464.86

3.474.88

3.474.89

18 .05.01

2.974.07

3.124.27

3.214.38

3.274.46

3.324.53

3.354.59

3.374.64

3.394.68

3.414.71

3.434.76

3.454.79

3.464.82

3.474.84

3.474.85

19 .05.01

2.964.05

3.114.24

3.194.35

3.264.43

3.314.50

3.354.56

3.374.61

3.394.64

3.414.67

3.434.72

3.444.76

3.464.79

3.474.81

3.474.82

20 .05.01

2.954.02

3.104.22

3.184.33

3.254.40

3.304.47

3.344.53

3.364.58

3.384.61

3.404.65

3.434.69

3.444.73

3.464.76

3.464.78

3.474.79

22 .05.01

2.933.99

3.084.17

3.174.28

3.244.36

3.294.42

3.324.48

3.354.53

3.374.57

3.394.60

3.424.65

3.444.68

3.454.71

3.464.74

3.474.75

24 .05.01

2.923.96

3.074.14

3.154.24

3.224.33

3.284.39

3.314.44

3.344.49

3.374.53

3.384.57

3.414.62

3.444.64

3.454.67

3.464.70

3.474.72

26 .05.01

2.913.93

3.064.11

3.144.21

3.214.30

3.274.36

3.304.41

3.344.46

3.364.50

3.384.53

3.414.58

3.434.62

3.454.65

3.464.67

3.474.69

28 .05.01

2.903.91

3.044.08

3.134.18

3.204.28

3.264.34

3.304.39

3.334.43

3.354.47

3.374.51

3.404.56

3.434.60

3.454.62

3.464.65

3.474.67

30 .05.01

2.893.89

3.044.06

3.124.16

3.204.22

3.254.32

3.294.36

3.324.41

3.354.45

3.374.48

3.404.54

3.434.58

3.444.61

3.464.63

3.474.65

40 .05.01

2.853.82

3.013.99

3.104.10

3.174.17

3.224.24

3.274.30

3.304.34

3.334.37

3.354.41

3.394.46

3.424.51

3.444.54

3.464.57

3.474.59

60 .05.01

2.833.76

2.983.92

3.084.03

3.144.12

3.204.17

3.244.23

3.284.27

3.314.31

3.334.34

3.374.39

3.404.44

3.434.47

3.454.50

3.474.53

100 .05.01

2.803.71

2.953.86

3.053.98

3.124.06

3.184.11

3.224.17

3.264.21

3.294.25

3.324.29

3.364.35

3.404.38

3.424.42

3.454.45

3.474.48

∞ .05.01

2.773.64

2.923.80

3.023.90

3.093.98

3.154.04

3.194.09

3.234.14

3.264.17

3.294.20

3.344.26

3.384.31

3.414.34

3.444.38

3.474.41

23

Page 24: TABLAS ESTADÍSTICAS 2010

TABLA 9 DE TUKEY Y STUDENT NEYMAN

Valores de q para la prueba de Tukey y Student Neyman

G. L.del

error∞

Número de promedios de los tratamientos

2 3 4 5 6 7 8 9 10

5 .05.01

3.645.70

4.606.97

5.227.80

5.678.42

6.068.91

6.339.32

6.589.67

6.809.97

6.9910.24

6 .05.01

3.465.24

4.346.33

4.907.03

5.317.56

5.637.97

5.898.32

6.128.61

6.328.87

6.499.10

7 .05.01

3.344.95

4.165.92

4.686.54

5.067.01

5.367.37

5.617.68

5.827.94

6.008.17

6.168.37

8 .05.01

3.264.74

4.045.63

4.536.20

4.896.63

5.176.96

5.407.24

5.607.47

5.777.68

5.927.87

9 .05.01

3.204.60

3.955.43

4.425.96

4.766.35

5.026.66

5.246.91

5.437.13

5.607.32

5.747.49

10 .05.01

3.154.48

3.885.27

4.335.77

4.656.14

4.916.43

5.126.67

5.306.87

5.467.05

5.607.21

11 .05.01

3.114.39

3.825.14

4.265.62

4.575.97

4.826.25

5.036.48

5.206.67

5.356.84

5.496.99

12 .05.01

3.084.32

3.775.04

4.205.50

4.515.84

4.756.10

4.956.32

5.126.51

5.276.67

5.406.81

13 .05.01

3.064.26

3.734.96

4.155.40

4.455.73

4.695.98

4.886.19

5.056.37

5.196.53

5.326.67

14 .05.01

3.034.21

3.704.89

4.115.32

4.415.63

4.645.88

4.836.08

4.996.26

5.136.41

5.256.54

15 .05.01

3.014.17

3.674.83

4.085.25

4.375.56

4.605.80

4.785.99

4.946.16

5.086.31

5.206.44

16 .05.01

3.004.13

3.654.78

4.055.19

4.335.49

4.565.72

4.745.92

4.906.08

5.036.22

5.156.35

17 .05.01

2.984.10

3.634.74

4.025.14

4.305.43

4.525.66

4.715.85

4.866.01

4.996.15

5.116.27

18 .05.01

2.974.07

3.614.70

4.005.09

4.285.38

4.495.60

4.675.79

4.825.94

4.966.08

5.076.20

19 .05.01

2.964.05

3.594.67

3.985.05

4.255.33

4.475.55

4.655.73

4.795.89

4.926.02

5.046.14

20 .05.01

2.954.02

3.584.64

3.965.02

4.235.29

4.455.51

4.625.69

4.775.84

4.905.97

5.016.09

24 .05.01

2.923.96

3.534.54

3.904.91

4.175.17

4.375.37

4.545.54

4.685.69

4.815.81

4.925.92

30 .05.01

2.893.89

3.494.45

3.844.80

4.105.05

4.305.24

4.465.40

4.605.54

4.725.65

4.835.76

40 .05.01

2.863.82

3.444.37

3.794.70

4.044.93

4.235.11

4.395.27

4.525.39

4.635.50

4.745.60

24

Page 25: TABLAS ESTADÍSTICAS 2010

60 .05.01

2.833.76

3.404.28

3.744.60

3.984.82

4.164.99

4.315.13

4.445.25

4.555.36

4.655.45

120 .05.01

2.803.70

3.364.20

3.694.50

3.924.71

4.104.87

4.245.01

4.365.12

4.485.21

4.565.30

∞ .05.01

2.773.64

3.314.12

3.634.40

3.864.60

4.034.76

4.174.88

4.294.99

4.395.08

4.475.16

TABLA 9 DE TUKEY Y STUDENT NEYMAN

Valores de q para la prueba de Tukey y Student Neyman

G. L del error

∞Número de promedios de los tratamientos

11 12 13 14 15 16 17 18 19 20

5 .05.01

7.1710.48

7.3210.70

7.4710.89

7.6011.08

7.7211.24

7.8311.40

7.9311.55

8.0311.68

8.1211.81

8.2111.93

6 .05.01

6.659.30

6.799.49

6.929.65

7.039.81

7.149.95

7.2410.08

7.3410.21

7.4310.32

7.5110.43

7.5910.54

7 .05.01

6.308.55

6.438.71

6.558.86

6.669.00

6.769.12

6.859.24

6.949.35

7.029.46

7.099.55

7.179.65

8 .05.01

6.058.03

6.188.18

6.298.31

6.398.44

6.488.55

6.578.66

6.658.76

6.738.85

6.808.94

6.879.03

9 .05.01

5.877.65

5.987.78

6.097.91

6.198.03

6.288.13

6.368.23

6.448.32

6.518.41

6.588.49

6.648.57

10 .05.01

5.727.36

5.837.48

5.937.60

6.037.71

6.117.81

6.207.91

6.277.99

6.348.07

6.408.15

6.478.22

11 .05.01

5.617.13

5.717.25

5.817.36

5.907.46

5.997.56

6.067.63

6.147.73

6.207.81

6.267.88

6.337.95

12 .05.01

5.516.94

5.627.06

5.717.17

5.807.26

5.887.36

5.957.44

6.037.52

6.097.59

6.157.66

6.217.73

13 .05.01

5.436.79

5.536.90

5.637.01

5.717.10

5.797.19

5.867.27

5.937.34

6.007.42

6.057.48

6.117.556.037.39

14 .05.01

5.366.56

5.466.77

5.556.87

5.646.96

5.727.05

5.797.12

5.857.20

5.927.27

5.977.33

15 .05.01

5.316.55

5.406.66

5.496.76

5.586.84

5.656.93

5.727.00

5.797.07

5.857.14

5.907.20

5.967.26

16 .05.01

5.266.46

5.356.56

5.446.66

5.526.74

5.596.82

5.666.90

5.726.97

5.797.03

5.847.09

5.907.15

17 .05.01

5.216.38

5.316.48

5.396.57

5.476.66

5.556.73

5.616.80

5.686.87

5.746.94

5.797.00

5.847.05

18 .05.01

5.176.31

5.276.41

5.356.50

5.436.58

5.506.65

5.576.72

5.636.79

5.696.85

5.746.91

5.796.96

19 .05.01

5.146.25

5.236.34

5.326.43

5.396.51

5.466.58

5.536.65

5.596.72

5.656.78

5.706.84

5.756.89

20 .05.01

5.116.19

5.206.29

5.286.37

5.366.45

5.436.52

5.496.59

5.556.65

5.616.71

5.666.76

5.716.82

24 .05.01

5.016.02

5.106.11

5.186.19

5.256.26

5.326.33

5.386.39

5.446.45

5.506.51

5.546.56

5.596.61

30 .05.01

4.925.85

5.005.93

5.086.01

5.156.08

5.216.14

5.276.20

5.336.26

5.386.31

5.436.36

5.486.41

40 .05.01

4.825.69

4.915.77

4.985.84

5.055.90

5.115.96

5.166.02

5.226.07

5.276.12

5.316.17

5.366.21

60 .05 4.73 4.81 4.88 4.94 5.00 5.06 5.11 5.16 5.20 5.24

25

Page 26: TABLAS ESTADÍSTICAS 2010

.01 5.53 5.60 5.67 5.73 5.79 5.84 5.89 5.93 5.98 6.02120 .05

.014.645.38

4.725.44

4.785.51

4.845.56

4.905.61

4.955.66

5.005.71

5.055.75

5.095.79

5.135.83

∞ .05.01

4.555.23

4.625.29

4.685.35

4.745.40

4.805.45

4.855.49

4.895.54

4.935.57

4.975.61

5.015.65

TABLA 10 DE KOLMOGOROV-SMIRNOV

Nivel de significancia para D = máximo

Tamaño de n0.20 0.15

0.10 0.05 0.01

1 0.900 0.925 0.950 0.975 0.9952 0.684 0.726 0.776 0.842 0.9293 0.565 0.597 0.642 0.708 0.8284 0.494 0.525 0.564 0.624 0.7335 0.446 0.474 0.510 0.565 0.669

6 0.410 0.436 0.470 0.521 0.6187 0.381 0.405 0.438 0.486 0.5778 0.358 0.381 0.411 0.457 0.5439 0.339 0.360 0.388 0.432 0.51410 0.322 0.342 0.368 0.410 0.490

11 0.307 0.326 0.352 0.391 0.46812 0.295 0.313 0.338 0.375 0.45013 0.284 0.302 0.325 0.361 0.43314 0.274 0.292 0.314 0.349 0.41815 0.266 0.283 0.304 0.338 0.404

16 0.258 0.274 0.295 0.328 0.39217 0.250 0.266 0.286 0.318 0.38118 0.244 0.259 0.278 0.309 0.37119 0.237 0.252 0.272 0.301 0.36320 0.231 0.246 0.264 0.294 0.356

25 0.21 0.22 0.24 0.27 0.3230 0.19 0.20 0.22 0.24 0.2935 0.18 0.19 0.21 0.23 0.27

Más de 35

26